Fixed point inversion of geophysical data

  • Authors:
  • G. R. J. Cooper

  • Affiliations:
  • Department of Geophysics and Geology, University of the Witwatersrand, 1 Jan Smuts Ave, Private Bag 3, Wits, Johannesburg, South Africa

  • Venue:
  • Computers & Geosciences
  • Year:
  • 2002

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Abstract

A new method for the solution of inverse problems that does not require either the calculation of gradient matrices or their inversion is described. The method works by constructing an equation from the geophysical forward model whose attracting fixed point under iteration is the desired solution to the inverse problem. The method has general application, and is here demonstrated using a gravity-forward model applied to an equivalent layer-gridding problem. The fixed point inversion algorithm is much faster than other techniques such as the biconjugate gradient method in this situation, and requires less computer memory during the calculations.